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Zepler [3.9K]
2 years ago
10

2/9n + 1/2 = 2/3(n+3) what does n equal?

Mathematics
1 answer:
Svetradugi [14.3K]2 years ago
7 0
\dfrac{2}{9}n+\dfrac{1}{2}=\dfrac{2}{3}(n+3)\ \ \ \ \ |multiply\ both\ sides\ by\ 18\\\\2\cdot2n+9=6\cdot2(n+3)\\\\4n+9=12(n+3)\\\\4n+9=12n+36\ \ \ \ |subtract\ 9\ from\ both\ sides\\\\4n=12n+27\ \ \ \ |subtract\ 12n\ from\ both\ sides\\\\-8n=27\ \ \ \ \ |divide\ both\ sides\ by\ (-8)\\\\n=-\dfrac{27}{8}\\\\n=-3\dfrac{3}{8}
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